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Question

Find the type of the triangle formed - by the graphs of the equation 2x+y=4 and y2x=4 and the x-axis :
  1. Right-angled triangle
  2. Scalene triangle
  3. Equilateral triangle
  4. Isosceles triangle

A
Right-angled triangle
B
Isosceles triangle
C
Scalene triangle
D
Equilateral triangle
Solution
Verified by Toppr

Both the lines intersect at (0,4).
The equation 2x+y=4 touches X-axis at (1,0) and Y-axis at (0,4).
Equation y2x=4 touches X-axis at (2,0) and Y-axis at (0,4).
And it makes a triangle in which all sided are of different length.
Hence, it forms an scalene triangle.

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